131380704 has 240 divisors, whose sum is σ = 476407008. Its totient is φ = 34587648.

The previous prime is 131380703. The next prime is 131380727. The reversal of 131380704 is 407083131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131380703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235594 + ... + 236150.

Almost surely, 2^131380704 is an apocalyptic number.

131380704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131380704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238203504).

131380704 is an abundant number, since it is smaller than the sum of its proper divisors (345026304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131380704 is a wasteful number, since it uses less digits than its factorization.

131380704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131380704 is about 11462.1422081564. The cubic root of 131380704 is about 508.3668171321.

The spelling of 131380704 in words is "one hundred thirty-one million, three hundred eighty thousand, seven hundred four".